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13793159520 = 253457152041
BaseRepresentation
bin11001101100010001…
…01110100101100000
31022121021021002210000
430312020232211200
5211222022101040
610200403140000
7665543631030
oct146610564540
938537232700
1013793159520
115938973998
12280b374600
1313ba7cb16a
1494bc338c0
1555adc7130
hex33622e960

13793159520 has 240 divisors, whose sum is σ = 55632775968. Its totient is φ = 3152701440.

The previous prime is 13793159489. The next prime is 13793159557. The reversal of 13793159520 is 2595139731.

13793159520 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 31 + 595 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14700 + ... + 166740.

Almost surely, 213793159520 is an apocalyptic number.

13793159520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13793159520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27816387984).

13793159520 is an abundant number, since it is smaller than the sum of its proper divisors (41839616448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13793159520 is a wasteful number, since it uses less digits than its factorization.

13793159520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152075 (or 152058 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 13793159520 in words is "thirteen billion, seven hundred ninety-three million, one hundred fifty-nine thousand, five hundred twenty".